Resolution is defined by the sample rate and bit depth. Both of those in turn are defined by your source. Any DAC that changes even a single bit in the bitstream is by definition, defective. So, no. The Weiss will not have, cannot have, better resolution. Nor is it likely to be meaningfully quieter, since the noise floor to peak output on both is far greater than dynamic range of your room noise floor to peak system SPL, which in most domestic systems is lucky if it hits 60dB.
That said, does it have noticeably better reconstruction filters or a better analog output? Those are things you may possibly determine through listening.